Entropy of the Randall-Sundrum black brane world to all orders in the Planck length

Abstract

We study the effects, to all orders in the Planck length from a generalized uncertainty principle (GUP), on the statistical entropy of massive scalar bulk fields in the Randall-Sundrum black brane world. We show that the Bekenstein-Hawking area law is not preserved, and contains small corrections terms proportional to the black hole inverse area.

19 pages, 1 figure. (v2): section 4 improved

References in corpus (11)

• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Interpretation of Quantum Field Theories with a Minimal Length Scale
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Running Coupling with Minimal Length
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• Black Hole Production at the LHC by Standard Model Bulk Fields in the Randall-Sundrum Model
• Gravitational waves and cosmological braneworlds: a characteristic evolution scheme
• Mass spectrum of primordial black holes from inflationary perturbation in the Randall-Sundrum braneworld: a limit on blue spectra

Cited by in corpus (4)

• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Fundamental Symmetries of the extended Spacetime